Evaluate the following permutations.
Q: A child gets a half dollar from the Tooth Fairy for losing a tooth, and the child excitedly begins…
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Q: A box contains 13 transistors, 5 of which are defective. If 5 are selected at random, find the…
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Q: A pet store has 14 puppies, including 5 poodles, 5 terriers, and 4 retrievers. If Rebecka and…
A: Given information: The pet store has 14 puppies. Among 14 puppies, 5 are poodles, 5 terriers and 4…
Q: A grocery store is sponsoring a sales promotion where the cashiers give away one of the letters A,…
A: Given : number of letters (k) =6
Q: In the game of poker featured in the motion picture Maverick, based on the television show, the…
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Q: A.) How many distinct permutations can be formed from all the letters of the word "unusual"? B.)…
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Q: If three balls are randomly selected one at a time without replacement, how many different…
A: A bag contains 6 different balls that are alike except for color. The colors are red, white, blue,…
Q: On her week-long trip to sunny Puerto Rico, Irvane brought 7 hats, one for each day of the week.…
A: For total of 7 days, we have 7 different colours of hat.So, total permutations are 7! (There are 7…
Q: Suppose that 100 fair dice are tossed. Let ?? be the number showing on the ??ℎ die. What is the…
A: 100 fair dice are tossed.Let denote the number showing on the die.
Q: A computer password consists of six characters. a. How many different passwords are possible if each…
A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…
Q: why is the permutation odd?
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Q: 9. Suppose you are given an ordinary deck of playing cards. In how many ways can 7 cards be…
A: Given : An ordinary deck of playing cards. Total Cards=52
Q: We have three pancakes. One is burnt on two sides, one on one side, and one not at all. The pancakes…
A: We will solve this problem with the help of bayes theorem ; Let A,B and C denotes the 3 pancakes…
Q: e) A deck of 52 cards is shuffled. Find the probability that all the red cards end up together.
A: here given , there are total 52 cards in deck , total 26 cards are red cards , 26 are black cards
Q: Suppose that we have a standard 52 card deck and suppose that it takes A cards until we get an ace.…
A: In a 52 card deck there are 4 ace. The number of ways a spade can be chosen in any trial = 4. Hence…
Q: 2.A clothing store has the following items on sale: • 50 Dresses • 10 blouses • 40 skirts • 45…
A: The number of ways an sample arranged can be determined using two methods, they are permutation and…
Q: What is the main difference between a situation in which the use of the permutations rule is…
A: The major and main difference in the use of permutation rule and the combination rule is ordering.…
Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…
A: Given information- This exercise refers to a standard deck of playing cards. Assume that 5 cards are…
Q: Find the number of distinguishable permutations of the given letters "AAABBBCCC". part a: There…
A: Given Solution:
Q: A grocery store is sponsoring a sales promotion where the cashiers give away one of the letters A,…
A:
Q: Which situation requires the use of both combinations and permutations? a. Selecting 3 boys and 3…
A: Permutation is used when the order/sequence is important.
Q: A coin is tossed six times. What is the probabi- lity of obtaining (a) 4 heads, (b) 5 heads, (c) 6…
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Q: Classify the problem as a permutation, a combination, or neither. A shipment of 90 TV sets is…
A: Given Total TV sets received=90 Number of sets to be chose at random=6
Q: *For the following scenario, state whether it involves a permutation or a combination, then find the…
A: Solution
Q: A box contains 15 transistors,5 of which are defective. If 5 are selected at random, find the…
A: The probability that all transistors are defective is obtained as 0.0003, from the calculation given…
Q: A lottery game has players selecting 5 numbers at random from the numbers 1–55. The state picks 20…
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Q: Recall that a full deck of cards contains 52 cards, 13 cards of each of the four suits. Distribute…
A: The indicator trick can be used to compute the expected value of . This trick involves defining…
Q: Calculate the following permutations, combinations and factorials. 8!
A: The objective of the question is to calculate the factorial of 8. Factorial of a number is the…
Q: Calculate the following permutations, combinations and factorials. 6P2=
A: The objective of the question is to calculate the permutation of 6 items taken 2 at a time, denoted…
Q: Find the probability of being dealt 5 cards from a standard 52-card deck, and the cards are a 6, 7,…
A: Five cards are being drawn from a standard 52-card deck to find that the cards are 6, 7, 8, 9, and…
Q: Recall that a full deck of cards contains 52 cards, 13 cards of each of the four suits. Distribute…
A: The indicator trick can be used to compute the expected value of N. This trick involves defining…
Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…
A: Follow the procedure given below.
Q: Consider an urn which contains 20 balls numbered as follows:…
A: Among the given numbers 1,4,1,1,4,4,4,1,1 are perfect squares. So 9 numbers are perfect…
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- A box contains 14 transistors, 4 of which are defective. If 4 are selected at random, find the probability of the statements belowYou are given a free play at the following lottery game: Three balls are drawn at random from among 11 balls numbered 1 through 11. Players win the following prize amounts for guessing which balls are drawn: • $212 for correctly guessing all three numbers. • $28 for correctly guessing exactly two of the three numbers. $13 for correcting guessing exactly one of the three numbers. Additionally, if the player guesses all three numbers in the order that they are drawn, the player wins another $1,016 (on top of the $212 won for guessing all three number). What is the expected (average) amount won playing this game? Hint: If you ignore the extra amount won by guessing the numbers in the correct order, then this is precisely the problem we did in class with a different number of balls and dollar amounts and you can (and should) compute the expected amount won in the same way. Then compute the expected amount of bonus money won as if it were a different game (where it matters what order the…A product shipment contains 6 computer chips, of which two (2) are defective. If an inspector selects 4 chips at random for an order, without replacement, how many ways are there of picking both defective chips in this order (of 4 chips)? Order does not matter.
- A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 3, drawn from the 8, will not contain a defective computer. What is the probability that a sample of 3 of the 8 computers will not contain a defective computer? (Type an integer or a simplified fraction.) 10In an experiment, there are 5 possible conditions, and you would like each participant to receive 3 out of the 5. However, you are concerned about the possible effects of the order in which the conditions are experienced, so you want to use all possible permutations of the 3 conditions tested. Calculate the number of permutations.For each of the following situations, explain why the combinations rule or the permutations rule should be used. (a) Determine the number of different groups of 5 items that can be selected from 12 distinct items. Use the permutations rule, since only the items in the group is of concern.Use the combinations rule, since only the items in the group is of concern. Use the combinations rule, since the number of arrangements within each group is of interest.Use the permutations rule, since the number of arrangements within each group is of interest. (b) Determine the number of different arrangements of 5 items that can be selected from 12 distinct items. Use the combinations rule, since only the items in the group is of concern.Use the permutations rule, since only the items in the group is of concern. Use the permutations rule, since the number of arrangements within each group is of interest.Use the combinations rule, since the number of arrangements within each group is of…
- A box contains 15 transistors, 5 of which are defective. If 5 are selected at random, find the probability of the statements below. a. All are defective b. None are defective a. The probability is 1 3003 (Type a fraction. Simplify your answer.) b. The probability is. (Type a fraction. Simplify your answer.)In the BS Lottery players choose 6 numbers out of 30. They win if they choose the same 6 numbers as our machine, which selects the numbers randomly. (A) How many permutations are possible? (B) How many combinations are possible?Is Rolling a 6 on one die and rolling a 5 on another die Independent? or Is Drawing an ace on a first draw and then a king on the second draw, where the first card drawn is not replaced Independant?